Lesson Example Discussion Quiz: Class Homework |
Step-1 |
Title: Adding and Subtracting Variables |
Grade: 6-a Lesson: S2-L6 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Simplify the expression \$ (4"y"^2) + (7"y"^2) \$. |
|
2 |
Step |
The given expression is |
\$ (4"y"^2) + (7"y"^2)\$ |
3 |
Step |
Combine like terms. Like terms are terms that have the same variable raised to the same power. In this case, both terms have the variable y raised to the power of 2. |
|
4 |
Step |
Add the coefficients of the like terms: |
\$( 4 + 7)"y"^2\$ |
5 |
Step |
Perform the addition operation: |
\$11("y")^2\$ |
6 |
Step |
So, the simplified expression is \$11("y"^2)\$. |
|
7 |
Choice.A |
The response is inaccurate as the simplified form should be \$11 "y"^2\$, not \$11 "y"^3\$ |
\$11 "y"^3\$ |
8 |
Choice.B |
The provided solution is wrong as the simplified form should be \$11 "y"^2\$, not \$15 "y"^2\$ |
\$15 "y"^2\$ |
9 |
Choice.C |
This answer is incorrect because the simplified expression is \$11 "y"^2\$, not \$15 "y"^3\$ |
\$15 "y"^3\$ |
10 |
Choice.D |
The simplified expression, \$11 "y"^2\$, validates this answer as being correct |
\$11 "y"^2\$ |
11 |
Answer |
Option |
D |
12 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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